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Finding the Fourth Proportional to 532.78, 796.08 and 416.95

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Solution

The fourth proportional to 532.78, 796.08 and 416.95 is: 623.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.78 : 796.08 = 416.95 : x
  2. Step 2: Convert to fraction form
    532.78/796.08 = 416.95/x
  3. Step 3: Cross multiply
    532.78x = 796.08 × 416.95
  4. Step 4: Simplify right side
    532.78x = 331,922.78
  5. Step 5: Solve for x
    x = 331,922.78/532.78
  6. Step 6: Final answer
    x = 623.00

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.